What is the 2nd derivative of E X?

What is the 2nd derivative of E X?

The derivative of the function f(x) = ex is f´(x) = ex and the second derivative f´´(x) = ex. The second derivative is always positive and therefore the graph is always convex.

What derivative gives you Lnx?

1x
The derivative of ln(x) is 1x. In certain situations, you can apply the laws of logarithms to the function first, and then take the derivative. Values like ln(5) and ln(2) are constants; their derivatives are zero.

What is the natural logarithmic function of 0?

What is the natural logarithm of zero? ln(0) = ? The real natural logarithm function ln(x) is defined only for x>0. So the natural logarithm of zero is undefined.

What is the derivative of CSC?

Math2.org Math Tables: Table of Derivatives

sin x = cos x Proof csc x = -csc x cot x Proof
cos x = – sin x Proof sec x = sec x tan x Proof
tan x = sec2 x Proof cot x = – csc2 x Proof

Is ln infinity infinity?

The answer is ∞ . The natural log function is strictly increasing, therefore it is always growing albeit slowly. The derivative is y’=1x so it is never 0 and always positive.

Why is ln0 infinity?

The real natural logarithm function ln(x) is defined only for x>0. So the natural logarithm of zero is undefined.

What is the derivative of arcsin?

You can use the derivative of arcsin x to plot the line tangent to arcsin x at any point. Let’s pick x = 1/2. At x = 1/2, y = arcsin (1/2) = . 5236.

Is ln 0 infinity?

The ln of 0 is infinity.

Is log 0 infinity?

log 0 is undefined. You can never reach zero, you can only approach it using an infinitely large and negative power. 3. log 1 = 0 means that the logarithm of 1 is always zero, no matter what the base of the logarithm is.